Deployment & Documentation & Stats & License
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Background: Outlier detection (OD) is a key data mining task for identifying abnormal objects from general samples with numerous high-stake applications including fraud detection and intrusion detection.
We propose TOD, a system for efficient and scalable outlier detection (OD) on distributed multi-GPU machines. A key idea behind TOD is decomposing OD applications into basic tensor algebra operations for GPU acceleration.
Citing TOD\ : Check out the design paper <https://www.andrew.cmu.edu/user/yuezhao2/papers/22-preprint-tod.pdf>
_.
If you use TOD in a scientific publication, we would appreciate
citations to the following paper::
@article{zhao2021tod,
title={TOD: GPU-accelerated Outlier Detection via Tensor Operations},
author={Zhao, Yue and Chen, George H and Jia, Zhihao},
journal={arXiv preprint arXiv:2110.14007},
year={2021}
}
or::
Zhao, Y., Chen, G.H. and Jia, Z., 2021. TOD: GPU-accelerated Outlier Detection via Tensor Operations. arXiv preprint arXiv:2110.14007.
One Reason to Use It: ^^^^^^^^^^^^^^^^^^^^^
On average, TOD is 11 times faster than PyOD on a diverse group of OD algorithms!
If you need another reason: it can handle much larger datasets---more than a million sample OD within an hour!
GPU-accelerated Outlier Detection with 5 Lines of Code\ :
.. code-block:: python
# train the COPOD detector
from pytod.models.knn import KNN
clf = KNN() # default GPU device is used
clf.fit(X_train)
# get outlier scores
y_train_scores = clf.decision_scores_ # raw outlier scores on the train data
y_test_scores = clf.decision_function(X_test) # predict raw outlier scores on test
TOD is featured for:
Table of Contents\ :
Installation <#installation>
_Implemented Algorithms <#implemented-algorithms>
_A Motivating Example PyOD vs. PyTOD <#a-motivating-example-pyod-vs-pytod>
_Paper Reproducibility <#paper-reproducibility>
_Programming Model Interface <#programming-model-interface>
_End-to-end Performance Comparison with PyOD <#end-to-end-performance-comparison-with-pyod>
_Installation ^^^^^^^^^^^^
It is recommended to use pip for installation. Please make sure the latest version is installed, as PyTOD is updated frequently:
.. code-block:: bash
pip install pytod # normal install pip install --upgrade pytod # or update if needed
Alternatively, you could clone and run setup.py file:
.. code-block:: bash
git clone https://github.com/yzhao062/pytod.git cd pyod pip install .
Required Dependencies\ :
Implemented Algorithms ^^^^^^^^^^^^^^^^^^^^^^
PyTOD toolkit consists of three major functional groups (to be cleaned up):
(i) Individual Detection Algorithms :
=================== ================== ====================================================================================================== ===== ======================================== Type Abbr Algorithm Year Ref =================== ================== ====================================================================================================== ===== ======================================== Linear Model PCA Principal Component Analysis (the sum of weighted projected distances to the eigenvector hyperplanes) 2003 [#Shyu2003A] Proximity-Based LOF Local Outlier Factor 2000 [#Breunig2000LOF] Proximity-Based COF Connectivity-Based Outlier Factor 2002 [#Tang2002Enhancing] Proximity-Based HBOS Histogram-based Outlier Score 2012 [#Goldstein2012Histogram] Proximity-Based kNN k Nearest Neighbors (use the distance to the kth nearest neighbor as the outlier score) 2000 [#Ramaswamy2000Efficient] Proximity-Based AvgKNN Average kNN (use the average distance to k nearest neighbors as the outlier score) 2002 [#Angiulli2002Fast] Proximity-Based MedKNN Median kNN (use the median distance to k nearest neighbors as the outlier score) 2002 [#Angiulli2002Fast] Probabilistic ABOD Angle-Based Outlier Detection 2008 [#Kriegel2008Angle] Probabilistic COPOD COPOD: Copula-Based Outlier Detection 2020 [#Li2020COPOD] Probabilistic FastABOD Fast Angle-Based Outlier Detection using approximation 2008 [#Kriegel2008Angle] =================== ================== ====================================================================================================== ===== ========================================
Code is being released. Watch and star for the latest news!
A Motivating Example PyOD vs. PyTOD! ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
kNN example <https://github.com/yzhao062/pytod/blob/main/examples/knn_example.py>
_
shows that how fast and how easy PyTOD is. Take the famous kNN outlier detection as an example:
.. code-block:: python
from pytod.models.knn import KNN # kNN detector
# train kNN detector
clf_name = 'KNN'
clf = KNN()
clf.fit(X_train)
.. code-block:: python
# if GPU is not available, use CPU instead
clf = KNN(device='cpu')
clf.fit(X_train)
.. code-block:: python
# get the prediction label and outlier scores of the training data
y_train_pred = clf.labels_ # binary labels (0: inliers, 1: outliers)
y_train_scores = clf.decision_scores_ # raw outlier scores
.. code-block:: python
KNN-PyOD ROC:1.0, precision @ rank n:1.0
Execution time 11.26 seconds
.. code-block:: python
KNN-PyTOD-GPU ROC:1.0, precision @ rank n:1.0
Execution time 2.82 seconds
.. code-block:: python
KNN-PyTOD-CPU ROC:1.0, precision @ rank n:1.0
Execution time 3.36 seconds
It is easy to see, PyTOD shows both better efficiency than PyOD.
Paper Reproducibility ^^^^^^^^^^^^^^^^^^^^^
Datasets: OD benchmark datasets are available at datasets folder <https://github.com/yzhao062/pytod/tree/main/reproducibility/datasets/ODDS>
_.
Scripts for reproducibility is available in reproducibility folder <https://github.com/yzhao062/pytod/tree/main/reproducibility>
_.
Cleanup is on the way!
Programming Model Interface ^^^^^^^^^^^^^^^^^^^^^^^^^^^
Complex OD algorithms can be abstracted into common tensor operators.
.. image:: https://raw.githubusercontent.com/yzhao062/pytod/master/figs/abstraction.png :target: https://raw.githubusercontent.com/yzhao062/pytod/master/figs/abstraction.png
For instance, ABOD and COPOD can be assembled by the basic tensor operators.
.. image:: https://raw.githubusercontent.com/yzhao062/pytod/master/figs/abstraction_example.png :target: https://raw.githubusercontent.com/yzhao062/pytod/master/figs/abstraction_example.png
End-to-end Performance Comparison with PyOD ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Overall, it is much (on avg. 11 times) faster than PyOD takes way less run time.
.. image:: https://raw.githubusercontent.com/yzhao062/pytod/master/figs/run_time.png :target: https://raw.githubusercontent.com/yzhao062/pytod/master/figs/run_time.png
Reference ^^^^^^^^^
.. [#Aggarwal2015Outlier] Aggarwal, C.C., 2015. Outlier analysis. In Data mining (pp. 237-263). Springer, Cham.
.. [#Aggarwal2015Theoretical] Aggarwal, C.C. and Sathe, S., 2015. Theoretical foundations and algorithms for outlier ensembles.\ ACM SIGKDD Explorations Newsletter\ , 17(1), pp.24-47.
.. [#Aggarwal2017Outlier] Aggarwal, C.C. and Sathe, S., 2017. Outlier ensembles: An introduction. Springer.
.. [#Almardeny2020A] Almardeny, Y., Boujnah, N. and Cleary, F., 2020. A Novel Outlier Detection Method for Multivariate Data. IEEE Transactions on Knowledge and Data Engineering.
.. [#Angiulli2002Fast] Angiulli, F. and Pizzuti, C., 2002, August. Fast outlier detection in high dimensional spaces. In European Conference on Principles of Data Mining and Knowledge Discovery pp. 15-27.
.. [#Arning1996A] Arning, A., Agrawal, R. and Raghavan, P., 1996, August. A Linear Method for Deviation Detection in Large Databases. In KDD (Vol. 1141, No. 50, pp. 972-981).
.. [#Breunig2000LOF] Breunig, M.M., Kriegel, H.P., Ng, R.T. and Sander, J., 2000, May. LOF: identifying density-based local outliers. ACM Sigmod Record\ , 29(2), pp. 93-104.
.. [#Burgess2018Understanding] Burgess, Christopher P., et al. "Understanding disentangling in beta-VAE." arXiv preprint arXiv:1804.03599 (2018).
.. [#Goldstein2012Histogram] Goldstein, M. and Dengel, A., 2012. Histogram-based outlier score (hbos): A fast unsupervised anomaly detection algorithm. In KI-2012: Poster and Demo Track\ , pp.59-63.
.. [#Gopalan2019PIDForest] Gopalan, P., Sharan, V. and Wieder, U., 2019. PIDForest: Anomaly Detection via Partial Identification. In Advances in Neural Information Processing Systems, pp. 15783-15793.
.. [#Hardin2004Outlier] Hardin, J. and Rocke, D.M., 2004. Outlier detection in the multiple cluster setting using the minimum covariance determinant estimator. Computational Statistics & Data Analysis\ , 44(4), pp.625-638.
.. [#He2003Discovering] He, Z., Xu, X. and Deng, S., 2003. Discovering cluster-based local outliers. Pattern Recognition Letters\ , 24(9-10), pp.1641-1650.
.. [#Iglewicz1993How] Iglewicz, B. and Hoaglin, D.C., 1993. How to detect and handle outliers (Vol. 16). Asq Press.
.. [#Janssens2012Stochastic] Janssens, J.H.M., Huszár, F., Postma, E.O. and van den Herik, H.J., 2012. Stochastic outlier selection. Technical report TiCC TR 2012-001, Tilburg University, Tilburg Center for Cognition and Communication, Tilburg, The Netherlands.
.. [#Kingma2013Auto] Kingma, D.P. and Welling, M., 2013. Auto-encoding variational bayes. arXiv preprint arXiv:1312.6114.
.. [#Kriegel2008Angle] Kriegel, H.P. and Zimek, A., 2008, August. Angle-based outlier detection in high-dimensional data. In KDD '08\ , pp. 444-452. ACM.
.. [#Kriegel2009Outlier] Kriegel, H.P., Kröger, P., Schubert, E. and Zimek, A., 2009, April. Outlier detection in axis-parallel subspaces of high dimensional data. In Pacific-Asia Conference on Knowledge Discovery and Data Mining\ , pp. 831-838. Springer, Berlin, Heidelberg.
.. [#Lazarevic2005Feature] Lazarevic, A. and Kumar, V., 2005, August. Feature bagging for outlier detection. In KDD '05. 2005.
.. [#Li2019MADGAN] Li, D., Chen, D., Jin, B., Shi, L., Goh, J. and Ng, S.K., 2019, September. MAD-GAN: Multivariate anomaly detection for time series data with generative adversarial networks. In International Conference on Artificial Neural Networks (pp. 703-716). Springer, Cham.
.. [#Li2020COPOD] Li, Z., Zhao, Y., Botta, N., Ionescu, C. and Hu, X. COPOD: Copula-Based Outlier Detection. IEEE International Conference on Data Mining (ICDM), 2020.
.. [#Liu2008Isolation] Liu, F.T., Ting, K.M. and Zhou, Z.H., 2008, December. Isolation forest. In International Conference on Data Mining\ , pp. 413-422. IEEE.
.. [#Liu2019Generative] Liu, Y., Li, Z., Zhou, C., Jiang, Y., Sun, J., Wang, M. and He, X., 2019. Generative adversarial active learning for unsupervised outlier detection. IEEE Transactions on Knowledge and Data Engineering.
.. [#Papadimitriou2003LOCI] Papadimitriou, S., Kitagawa, H., Gibbons, P.B. and Faloutsos, C., 2003, March. LOCI: Fast outlier detection using the local correlation integral. In ICDE '03, pp. 315-326. IEEE.
.. [#Pevny2016Loda] Pevný, T., 2016. Loda: Lightweight on-line detector of anomalies. Machine Learning, 102(2), pp.275-304.
.. [#Ramaswamy2000Efficient] Ramaswamy, S., Rastogi, R. and Shim, K., 2000, May. Efficient algorithms for mining outliers from large data sets. ACM Sigmod Record\ , 29(2), pp. 427-438.
.. [#Rousseeuw1999A] Rousseeuw, P.J. and Driessen, K.V., 1999. A fast algorithm for the minimum covariance determinant estimator. Technometrics\ , 41(3), pp.212-223.
.. [#Ruff2018Deep] Ruff, L., Vandermeulen, R., Goernitz, N., Deecke, L., Siddiqui, S.A., Binder, A., Müller, E. and Kloft, M., 2018, July. Deep one-class classification. In International conference on machine learning (pp. 4393-4402). PMLR.
.. [#Scholkopf2001Estimating] Scholkopf, B., Platt, J.C., Shawe-Taylor, J., Smola, A.J. and Williamson, R.C., 2001. Estimating the support of a high-dimensional distribution. Neural Computation, 13(7), pp.1443-1471.
.. [#Shyu2003A] Shyu, M.L., Chen, S.C., Sarinnapakorn, K. and Chang, L., 2003. A novel anomaly detection scheme based on principal component classifier. MIAMI UNIV CORAL GABLES FL DEPT OF ELECTRICAL AND COMPUTER ENGINEERING.
.. [#Tang2002Enhancing] Tang, J., Chen, Z., Fu, A.W.C. and Cheung, D.W., 2002, May. Enhancing effectiveness of outlier detections for low density patterns. In Pacific-Asia Conference on Knowledge Discovery and Data Mining, pp. 535-548. Springer, Berlin, Heidelberg.
.. [#Wang2020adVAE] Wang, X., Du, Y., Lin, S., Cui, P., Shen, Y. and Yang, Y., 2019. adVAE: A self-adversarial variational autoencoder with Gaussian anomaly prior knowledge for anomaly detection. Knowledge-Based Systems.
.. [#Zhao2018XGBOD] Zhao, Y. and Hryniewicki, M.K. XGBOD: Improving Supervised Outlier Detection with Unsupervised Representation Learning. IEEE International Joint Conference on Neural Networks\ , 2018.
.. [#Zhao2019LSCP] Zhao, Y., Nasrullah, Z., Hryniewicki, M.K. and Li, Z., 2019, May. LSCP: Locally selective combination in parallel outlier ensembles. In Proceedings of the 2019 SIAM International Conference on Data Mining (SDM), pp. 585-593. Society for Industrial and Applied Mathematics.
.. [#Zhao2021SUOD] Zhao, Y., Hu, X., Cheng, C., Wang, C., Wan, C., Wang, W., Yang, J., Bai, H., Li, Z., Xiao, C., Wang, Y., Qiao, Z., Sun, J. and Akoglu, L. (2021). SUOD: Accelerating Large-scale Unsupervised Heterogeneous Outlier Detection. Conference on Machine Learning and Systems (MLSys).